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Bogdan [553]
3 years ago
12

It costs $1,200 to produce 50 pounds of a chemical and it costs $2,200 to produce 150 pounds. The chemical sells for $15 per pou

nd x is the amount of chemical; y is in dollars. a. Find the cost function. b. What is the fixed cost? c. How many pounds must be sold to break even? d. Find the cost and revenue at the break-even point.
Business
2 answers:
sashaice [31]3 years ago
8 0

Answer:

a.

C(y) = mx + b

y = cost in dollars

x = amount of chemical

m = per unit variable cost

b = fixed cost

b.

Use High low Method to calculate the Variable cost from the total cost given

Variable Cost = ( Highest activity cost - Lowest activity cost ) / ( Highest Number of Units - Lowest Number of Units )

Variable Cost = ( $2,200 - $1,200 ) / ( 150 - 50 )

Variable Cost = $1,000 / 100

Variable Cost = $10 per unit

Fixed Cost = $2,200 - ( 150 x $10 )

Fixed Cost = $2,200 - $1,500

Fixed Cost = $700

c.

Contribution Per Unit = Price - Variable cost

Contribution Per Unit = $15 - $10

Contribution Per Unit = $5

Break-even point = $700 / $5

Break-even point = 140 Pounds

d.

Revenue = 140 x $15 = $2,100

Cost = 140 x 10 = $1,400

ikadub [295]3 years ago
6 0

Answer:

See Attachment

Explanation:

All the requirements have been full filled in the excel sheet attached below

Download xlsx
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3 0
2 years ago
What does reliability ensure? A. The system has the ability to operate in many different operating systems B. The system is easy
PolarNik [594]

Answer:

C. The system is functioning correctly and providing accurate information

Explanation:

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3 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
nataly862011 [7]

Answer:

Incomplete question

Complete question:

An aircraft factory manufactures airplane engines. The unite cost C ( the cost in dollars to make each airplane engine) depends on the number of engines made. If x is the number of engines made, then the unit cost is given by the function C(x)=0.8x^2-160x+26848. What is the minimum unit cost? not rounded

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Explanation:

Since we have the function

C(x) = 0.8x²-160x+26,848

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The vertex of a parabola (quadratic equation) occurs where X = -b/2a, in this case we have that

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Therefore, we substitute x = 100 into the original equation

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